| Charles Hutton - Mathematics - 1811 - 406 pages
...AD . AB is equal to the sum of all the ether rectangles AjJ . AE, AD. EF, AD . FB. c^. ED Corol. If a right line be divided into any two parts ; the square...the whole line, is equal to both the rectangles of die whole line and each of the parts. CB THEOREM XXXI. THE Square of the Sum of two Lines, is greater... | |
| Charles Hutton - Mathematics - 1812 - 620 pages
...the other rectangles AD . AE, AD . EF, AD FB q ED Corol If a right line be divided into any two pam ; the square on the whole line, is equal to both the...Square of the Sum of two Lines is greater than the Sum of their Squares, by Twice the Rectan ,lc of the said Lines. Or, the Square of a whole Line, is... | |
| Charles Hutton - Arithmetic - 1818 - 646 pages
...rectangles AD . AE, AD . EF, AD . FB. i}. KD Carol. lf a right line be divided into any two part* ; the square on the whole line, is equal to both the...rectangles of the whole line and each of the parts. THEOREM XXXL THE Square of the Sum of two Lines is greater than the Sum of their Squares, by Twice the Rectangle... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...equal to the .-11111 of all the other rectangles AD . AE, AD . EF, AD . FB. 4. c. D. E FB Carol. If a right line be divided into any two parts ; the square...Square of the Sum of two Lines is greater than the Sum of their Squares, by Twice the Rectangle of the said Lines. Or, the Square of a whole Line, is... | |
| Charles Hutton - Mathematics - 1825 - 608 pages
...to the sum of ;tll the other «• •* * M rectangles AD . AE, AD . EF, AD . FB. «. ED Corol. If a right line be divided into any two parts ; the square...XXXI. THE Square of the Sum of two Lines is greater that the Sum of their Squares, by Twice the Rectangle of the said Lines. Or the Square of n whole Line,... | |
| John Playfair - Geometry - 1829 - 210 pages
...of the two parts together with twice the rectangle contained by the two parts. Or, in other words, the square of the sum of two lines is greater than the sum of their squares by twice the rectangle contained by those lines. IF a straight line be divided... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...the rectangle AC, С В, together with the square of В С. Therefore, &c. PROP. 32. (Eue. ii. 4.) The square of the sum of two lines is greater than the sum of their squares, oy twice their rectangle. Let the straight line AB be the sum of the two straight... | |
| Charles Hutton - Mathematics - 1831 - 660 pages
...AD. AB is equal to the sum of all ihe other rectangles AD . AE, AD . EF, AD . FB. QED B FB Carol. If a right line be divided into any two parts, the square...square of the sum of two lines, is greater than the sum of their squares, by twice the rectangle of the said lines. Or, the square of a whole line, is... | |
| Charles Hutton - Mathematics - 1831 - 632 pages
...AE, AD . EF, AD . FB. QED E FB Carol. If a right line be divided into any two parts, the square ou the whole line, is equal to both the rectangles of...square of the sum of two lines, is greater than the sum of their squares, by twice the rectangle of the said lines. Or, the square of a whole line, is... | |
| William Grier - Mechanical engineering - 1832 - 366 pages
...25.) and AE, and AD and FB : thus expressed, AD . AB = AD . AE + AD . EF + AD . FB.»— (Fig. 26.) If a right line be divided into any two parts, the square...rectangles of the whole line and each of the parts. 30. Let the line AB be the sum of any two lines AC, CB ; then will the square of AB be equal to the... | |
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